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Viefleur [7K]
3 years ago
5

Find the measure of arc CE.

Mathematics
2 answers:
almond37 [142]3 years ago
7 0
∠CAE is is the central angle  ⇒  arc CE = ∠CAE
∠СAE =  ∠СAD + ∠DAE = 40° + 25° = 65°
So arc CE = 65°
kati45 [8]3 years ago
6 0
Arc CE = 40 + 25 = 65
answer
65
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3 years ago
what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
kramer

Answer:

P(x \le 21) = 0.69146

Step-by-step explanation:

The missing parameters are:

n = 64 --- population

\mu = 20 --- population mean

\sigma = 16 -- population standard deviation

Required

P(x \le 21)

First, calculate the sample standard deviation

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{16}{\sqrt {64}}

\sigma_x = \frac{16}{8}

\sigma_x = 2

Next, calculate the sample mean \bar_x

\bar x = \mu

So:

\bar x = 20

So, we have:

\sigma_x = 2

\bar x = 20

x = 21

Calculate the z score

x = \frac{x - \mu}{\sigma}

x = \frac{21 - 20}{2}

x = \frac{1}{2}

x = 0.50

So, we have:

P(x \le 21) = P(z \le 0.50)

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